Uniform Accelerated Motion

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Presentation transcript:

Uniform Accelerated Motion

Acceleration (a): the rate at which an object changes its velocity Acceleration (a): the rate at which an object changes its velocity. Measured in m/s2. Acceleration is a vector. Anytime an object’s velocity is changing (whether up or down) it is accelerating.

The acceleration of an object can be found with: Where: a = acceleration Δv = change in velocity t = time a = Δv t

A sprinter starts from rest and reaches a speed of 12 m/s in 4. 25 s A sprinter starts from rest and reaches a speed of 12 m/s in 4.25 s. Find his acceleration. A car starts from rest and accelerates at 15 m/s2 for 3.0 s. What is its top speed? If a snowboarder is traveling at 8.0 m/s how long will it take her to reach 36.0 m/s if she can accelerate at a rate of 3.5 m/s2

Remember that all vectors include a direction Remember that all vectors include a direction. In 1-D we assign them a sign. Up or to the right are both positive Down or to the left are both negative An object’s velocity and acceleration can be in opposite directions.

Determine the direction of the velocity and acceleration A car sitting at a stop light hits the gas From rest you back out of your driveway A plane lands and comes to a stop You drop a rock off a cliff You throw a rock straight up

Sketch v vs. t graphs of the following situations: A hockey player skates at full speed then comes to a sudden stop. A football is kicked straight up and then falls back down. A swimmer swims the length of a pool at a constant speed, turns around and swims back A skydiver jumps from a plane, speeds up to terminal velocity, falls for awhile then pulls the chute, slowing down.